Search a number
-
+
38781868189512 = 23374318892841967
BaseRepresentation
bin10001101000101100110110…
…11110100010011101001000
312002022111210002000111022110
420310112123132202131020
520040400231224031022
6214252051100022320
711111616563354310
oct1064263336423510
9162274702014273
1038781868189512
11113a2330608438
1244242292319a0
13188416467b916
149810a3c52440
15473c132dd00c
hex23459b7a2748

38781868189512 has 128 divisors (see below), whose sum is σ = 113442268262400. Its totient is φ = 10817113724928.

The previous prime is 38781868189507. The next prime is 38781868189523. The reversal of 38781868189512 is 21598186818783.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12225153 + ... + 15067119.

It is an arithmetic number, because the mean of its divisors is an integer number (886267720800).

Almost surely, 238781868189512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38781868189512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56721134131200).

38781868189512 is an abundant number, since it is smaller than the sum of its proper divisors (74660400072888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38781868189512 is a wasteful number, since it uses less digits than its factorization.

38781868189512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843915 (or 2843911 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 75.

The spelling of 38781868189512 in words is "thirty-eight trillion, seven hundred eighty-one billion, eight hundred sixty-eight million, one hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 1889 2408 3612 3778 5667 7224 7556 11334 13223 15112 22668 26446 39669 45336 52892 79338 81227 105784 158676 162454 243681 317352 324908 487362 568589 649816 974724 1137178 1705767 1949448 2274356 2841967 3411534 4548712 5683934 6823068 8525901 11367868 13646136 17051802 19893769 22735736 34103604 39787538 59681307 68207208 79575076 119362614 122204581 159150152 238725228 244409162 366613743 477450456 488818324 733227486 855432067 977636648 1466454972 1710864134 2566296201 2932909944 3421728268 5132592402 5368475663 6843456536 10265184804 10736951326 16105426989 20530369608 21473902652 32210853978 37579329641 42947805304 64421707956 75158659282 112737988923 128843415912 150317318564 225475977846 230844453509 300634637128 450951955692 461688907018 692533360527 901903911384 923377814036 1385066721054 1615911174563 1846755628072 2770133442108 3231822349126 4847733523689 5540266884216 6463644698252 9695467047378 12927289396504 19390934094756 38781868189512